The charge on 500 cc of water due to protons will be 

(1) 6.0 × 1027 C

(2) 2.67 × 107 C

(3) 6 × 1023 C

(4) 1.67 × 1023 C

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

Concept Questions :-

Coulomb's law
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The electric field in a region is radially outward with magnitude E=Aγ0. The charge contained in a sphere of radius γ0 centered at the origin is 

(1) 14πε0Aγ03

(2) 4πε0Aγ03

(3) 4πε0Aγ0

(4) 14πε0Aγ03

Concept Questions :-

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Charge q is uniformly distributed over a thin half-ring of radius R. The electric field at the centre of the ring is 

(1) q2π2ε0R2

(2) q4π2ε0R2 

(3) q4πε0R2

(4) q2πε0R2

Concept Questions :-

Electric field
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In the given figure two tiny conducting balls of identical mass m and identical charge q hang from non-conducting threads of equal length L. Assume that θ is so small that tanθsinθ, then for equilibrium x is equal to 

(1) q2L2πε0mg13

(2) qL22πε0mg13

(3) q2L24πε0mg13

(4) q2L4πε0mg13

Concept Questions :-

Coulomb's law
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Three positive charges of equal value q are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in 

(1)   (2)

(3)    (4)

Concept Questions :-

Electric field
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Two equal charges are separated by a distance d. A third charge placed on a perpendicular bisector at x distance will experience maximum coulomb force when 

(1) x=d2

(2) x=d2

(3) x=d22

(4) x=d23

Concept Questions :-

Coulomb's law
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An electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I. If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is 

(1) pEI1/2

(2) pEI3/2

(3) IpE1/2

(4) pIE1/2

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An infinite number of electric charges each equal to 5 nano-coulomb (magnitude) are placed along x-axis at x = 1 cm, x = 2 cm, x = 4 cm, x = 8 cm ………. and so on. In the setup if the consecutive charges have opposite sign, then the electric field in Newton/Coulomb at x = 0 is 14πε0=9×109Nm2/c2

(1) 12 × 104

(2) 24 × 104

(3) 36 × 104

(4) 48 × 104

Concept Questions :-

Electric field
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A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is T0. When parallel plates are charged, the time period changes to T. The ratio T/T0 is equal to 

(1) g+qEmg1/2

(2) gg+qEm3/2

(3) gg+qEm1/2

(4) None of these 

Concept Questions :-

Electric field
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Three charges –q1, +q2 and –q3 are placed as shown in the figure. The x-component of the force on –q1 is proportional to 

(1) q2b2q3a2sinθ

(2) q2b2q3a2cosθ

(3) q2b2+q3a2sinθ

(4) q2b2+q3a2cosθ

Concept Questions :-

Electric field
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Difficulty Level: